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Finding the Third Proportional to 2,710.26 and 5,939.50

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Solution

The third proportional to 2,710.26 and 5,939.50 is: 13,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.26 : 5,939.50 = 5,939.50 : x
  2. Step 2: Convert to fraction form
    2,710.26/5,939.50 = 5,939.50/x
  3. Step 3: Cross multiply
    2,710.26x = 5,939.50 × 5,939.50
  4. Step 4: Simplify right side
    2,710.26x = 35,277,648.65
  5. Step 5: Solve for x
    x = 35,277,648.65/2,710.26
  6. Step 6: Final answer
    x = 13,016.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.